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The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously


Citation

Monsi, Mansor and Hassan, Nasruddin and Mohammad Rusli, Syaida Fadhilah (2016) The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously. Malaysian Journal of Mathematical Sciences, 10 (3). pp. 383-398. ISSN 1823-8343; ESSN: 2289-750X

Abstract

Our previous method that is PMZSS1 has a rate of convergence of at least eight. The aim of repeating the steps in PMZSS1 is to yield a better rate of convergence. The resulting method is called the repeated midpoint zoro PRMZSS1 where its rate of convergence is at least 7r +1 with r ≥ 1.The proof of this result is detailed in the convergence analysis of PRMZSS1. Numerical results and comparison with the existing procedures of PZSS1 and PMZSS1 are included to confirm our theoretical results, where the rate of convergence of PZSS1 and PMZSS1 are four and eight respectively.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: Convergence rate; Estimating the zeros; Simple zeros; Simultaneous approximation
Depositing User: Nabilah Mustapa
Date Deposited: 05 Jun 2017 09:15
Last Modified: 05 Jun 2017 09:15
URI: http://psasir.upm.edu.my/id/eprint/52332
Statistic Details: View Download Statistic

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